theta function in a sentence

Examples

1. The theta function of a lattice is then a holomorphic function on the upper half-plane.
2. One of the major achievements of Bernhard Riemann was his theory of complex tori and theta functions.
3. This was also a beginning of a substantial development by others, connecting representation theory and theta functions.
4. These formulas can, therefore, be used to define the Theta functions over other-adic numbers.
5. In the analytic theory, there are four fundamental theta functions in the theory of Jacobian elliptic functions.
6. This is applied in the theory of theta functions, and is a possible method in geometry of numbers.
7. The next simplest cases of a disc or square involve, respectively, Bessel functions and Jacobi theta functions.
8. The holomorphic parts of certain weak Maass wave forms turn out to be essentially Ramanujan's mock theta functions.
9. The theta function of a unimodular positive definite lattice is a modular form whose weight is one half the rank.
10. He worked with ideas related to those of Weierstrass, Riemann and Heinrich Weber on theta functions and Gaussian sums.